On the determination of star and convex bodies by section functions

DOI10.1007/PL00009411zbMath0923.52003MaRDI QIDQ1283742

Aljoša Volčič, Alessandro Soranzo, Richard J. Gardner

Publication date: 6 October 1999

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

zbMATH Keywords

intersection bodiesprojection functionsmixed volumesgeometric tomographysection functionbodies with similar projectionsdetermination of objectsdetermination of star bodieswidth and brightness functions

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39)

Related Items (6)

Determination of analytic manifolds from functionals of their polars ⋮ Determination of convex bodies from Γ-section functions ⋮ Starshaped sets ⋮ On the uniqueness of gravitational centre ⋮ Average section functions for star-shaped sets ⋮ When do sections of different dimensions determine a convex body?

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